Question

Which applies the power of a power rule properly to simplify this expression?

Answer 1

Answer:

D.

Step-by-step explanation:

[7^(-8)]^(-4) =

A power raised to a power: multiply the exponents.

= 7^[(-8)*(4)]

= 7^(32)

Answer: D.

Answer 2

Answer:

7^32, the fourth option

Step-by-step explanation:

For the power rule, if you have a number to a power, for example $x^{a}$ and raise it to another power so it becomes, $(x^{a} )^{b}$, We simplify by multiplying the powers together. So the simplified answer would be $x^{(a*b)}$.